书目名称 | Optimization of Elliptic Systems | 副标题 | Theory and Applicati | 编辑 | Pekka Neittaanmaki,Dan Tiba,Jürgen Sprekels | 视频video | | 概述 | Provides a comprehensive and accessible introduction to the optimization of elliptic systems.The authors clarify connections between seemingly disparate types of problems.Organized to impart a gradual | 丛书名称 | Springer Monographs in Mathematics | 图书封面 |  | 描述 | The present monograph is intended to provide a comprehensive and accessible introduction to the optimization of elliptic systems. This area of mathematical research, which has many important applications in science and technology. has experienced an impressive development during the past two decades. There are already many good textbooks dealing with various aspects of optimal design problems. In this regard, we refer to the works of Pironneau [1984], Haslinger and Neittaanmaki [1988], [1996], Sokolowski and Zolksio [1992], Litvinov [2000], Allaire [2001], Mohammadi and Pironneau [2001], Delfour and Zolksio [2001], and Makinen and Haslinger [2003]. Already Lions [I9681 devoted a major part of his classical monograph on the optimal control of partial differential equations to the optimization of elliptic systems. Let us also mention that even the very first known problem of the calculus of variations, the brachistochrone studied by Bernoulli back in 1696. is in fact a shape optimization problem. The natural richness of this mathematical research subject, as well as the extremely large field of possible applications, has created the unusual situation that although many important resu | 出版日期 | Book 2006 | 关键词 | development; equation; mathematics; mechanics; optimization; physics; science; technology; variable; partial | 版次 | 1 | doi | https://doi.org/10.1007/b138797 | isbn_softcover | 978-1-4419-2093-5 | isbn_ebook | 978-0-387-27236-8Series ISSN 1439-7382 Series E-ISSN 2196-9922 | issn_series | 1439-7382 | copyright | Springer-Verlag New York 2006 |
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